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Math 7 Review Questions
The following are examples of questions from each chapter. They do not cover
everything, but are a summary of the types of questions studied in each chapter. If you
find a question difficult, it is a good idea to find similar questions in your textbook and
practice those as well.
Chapter 1: Coordinates and Design
1. Draw a Cartesian grid. Label the quadrants, the X and Y axes, and the origin.
Quadrant:
Quadrant:
Quadrant:
Quadrant:
2. On the grid above, plot the points A (-2,5), B (0,0), C (-3,-4), D (4, -2), E (1,6)
3. Translate point E 4 units left and 5 units down. What are the coordinates of E’?
__________
4. Reflect point A in the x-axis and then in the y- axis. What are the coordinates of
A’’? _____________
5. Rotate point D 90o counter clockwise about the origin. Then reflect D’ in the yaxis. What are the coordinates of D’’? _________
Chapter 2: Operations on Decimal Numbers
6. Estimate 27.67 + 15.41 using relative size and front-end estimation.
7. Add and subtract.
a) 78.31 + 39.25 = ________
b) 78.31 - 39.25 = ________
8. Estimate 8.7 x 4.5 using relative size and front-end estimation. Then calculate
the answer (using paper and pencil).
9. Estimate 9.39 ÷ 3 using relative size and front-end estimation. Then calculate the
answer (using paper and pencil).
10. An empty pencil crayon box costs $0.13. One full box holds 12 pencil crayons. If
the total cost of a box of pencil crayons is $1.93, how much does one pencil
crayon cost?
11. The menu at a restaurant is shown below. How much would it cost for 2 slices of
pepperoni, 3 egg salad sandwiches, 1.5 kg of macaroni and cheese, and 1 stir
fry?
Pepperoni pizza: $5.25/slice
Macaroni and cheese: $3.75/kg
Stir-fry: $3.95
Grilled chicken sandwich: $3.95
Egg salad sandwich: $3.95
Pizza bagels: $2.75
Quesadillas: $2.90
12. Add brackets to the expression 80  0.4 + 6 x 0.3 to get the following answers.
a) 201.8
b) 3.75
Chapter 3: Geometry and Measurement
13. Draw parallel line segments using a ruler and a triangle. Check that they are
parallel.
14. Draw perpendicular line segments using a ruler and a protractor. Check that they
are perpendicular.
15. Draw the perpendicular bisector of the line below using a ruler and a compass.
(pg. 90) Check it is the perpendicular bisector.
16. Construct an angle of 24° and label it PQR. Draw the angle bisector and label it
QT.
17. Look at the shape below. What is its area? (hint: use
the formula for the area of a parallelogram)
18. What is the area of the shaded region to the right?
Chapter 4: Fractions, Decimals and Percents
19. Write a fraction, decimal and percent for this situation:
21 out of 29 students say they love chocolate ice cream.
20. Angus made a down payment of $60 on a new laptop, which was 15% of the value of
the laptop. What was the value of the laptop?
21. The grocery store is selling kiwis at $5.40 for a bag of 10, and pears at $4.80 a
dozen. What is the cost of a pear as a percent of the cost of a kiwi?
22. It is March 14, and the students are celebrating pi day. Mia ate
of a pizza. Ashley ate
0.3 of the pizza and Andrew ate 40% of it. How much of the pizza was left?
Chapter 5: Probability
23. a) A box of jelly beans contains 20 red jelly beans, 30 blue, 15 green, 25 yellow,
and 10 black. If one jelly bean is chosen at random, what is the probability that it
is black? ______________
b) What is the probability that the jelly bean is blue or green? ___________
c) What is the probability that the jelly bean is not yellow? ____________
24. You roll a six – sided die and toss a loonie.
a) Draw a tree diagram that shows all the possible outcomes.
b) What is the total number of possible outcomes? ______________
c) What is the probability of P(1,H)? ____________
25. Four students each tossed the same coin 20 times. Andrew tossed 8 heads,
Bethany tossed 10 heads, Kaitlyn tossed 14 heads, and Danae tossed 8 heads.
a) What is the theoretical probability of tossing a head with this coin? _________
b) What is the experimental probability of tossing a head with this coin? _______
Chapter 6 & 7: Fractions
26. Circle the numbers that are divisible by 3. Underline the numbers below that are
divisible by 9. Double underline the numbers divisible by 4.
312
45
744
72
89123
67
1011
5 3
27. What is the lowest common denominator for 6 , 4 ?
28. Add or subtract. Then reduce to simplest form.
a)
b)
c)
d)
29. Draw a diagram that represents
to simplest form.
. Then subtract the fractions and reduce
30. Jonah is making cookies. He has
bags of chocolate chips. He adds
bags
to the cookie dough. He then accidentally drops
of bags of chocolate chips on
the ground and can’t use them anymore. (They were open and on the ground for
longer than 5 seconds!). What fraction of the chocolate chips are left?
Chapter 8: Circles
31. a) Draw a circle with a radius of 2 cm.
b) What is the circle’s diameter? _______
c) What is the circle’s circumference?
d) What is the circle’s area?
32. a) The shaded region below is Bob’s garden. He wants to build a fence around
the outside edge of the garden. Fence costs $23/ m. How much will his fence
cost?
b) Bob also wants to put new topsoil in his garden.
He needs to know the area of his garden. What is
the area?
33. Using the circle graph below, calculate how many students have a fish, dog, and
cat.
Pets of Students in Grade 7 (48
students)
Chapter 9: Add and Subtract Integers (review: p. 342-343)
 integer chips, zero pair
 opposite integers
 adding integers using integer chips and number lines
 subtracting integers using integer chips and by “adding the opposite”
 word problems involving integers
Chapter 10: Patterns and Expressions (review: p. 382-383)
 variable, expression, constant, numerical coefficient, linear relations
 writing expressions from word problems
 evaluating expressions (ex. What is the value of 3s if s = 9?)
 table of values, graphing linear relations
Chapter 11: Solving Equations (review: p. 414-415)
 equations vs. expressions
 cups and counters, algebra tiles and balance scales
 opposite operations: + and - , x and ÷

solving equations such as x + 5 = 11, 2n = 16,
, 2s + 5 = 15 using opposite operations
Chapter 12: Working with Data (review: p. 452-453)
 median, mode, mean and outliers
Formulas
(These will be given to you)
Area  A
Base  b
Circumference  C
Height  h
Pi π
Radius  r
Parallelogram Formula:
A=bxh
Triangle Formula:
A=bxh÷2
Circle Formulas:
π = 3.14…
d=2xr
C=πxd
A = π x r2 or A = π x r x r
Diameter  d